In mathematics and computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this …

Aug 23, 2019 · Definition − A graph (denoted as G = (V, E)) consists of a non-empty set of vertices or nodes V and a set of edges E. A vertex a represents an endpoint of an edge. An …

A graph \(G\) consists of a pair \((V,E)\), where \(V\) is the set of vertices and \(E\) the set of edges. We write \(V(G)\) for the vertices of \(G\) and \(E(G)\) for the edges of \(G\) when …

Jul 12, 2021 · If \(e = \{u, v\}\) is an edge of a graph (or a multigraph, with or without loops), then we say that \(u\) and \(v\) are endvertices (singular: endvertex) of \(e\).

Mar 20, 2017 · For the most part (aside from one exception, which we won’t cover today), graphs can have two types of edges: a edge that has a direction or flow, and an edge that has no …

Edges represent the relationships between the vertices in a graph. A graph can have many edges connecting different pairs of vertices. Edges can be directed or undirected, weighted or …

Informally, a graph is a bunch of dots and lines where the lines connect some pairs of dots. An example is shown in Figure 5.1. The dots are called nodes (or vertices) and the lines are …

Nov 15, 2023 · Edge(E): A connection between two vertex that indicates a relationship or interaction. Edges may have a direction (directed graph) or be undirected. Directed …

Apr 30, 2025 · For a directed graph, the edge is an ordered pair of nodes. The terms "arc," "branch," "line," "link," and "1-simplex" are sometimes used instead of edge (e.g., Skiena …

A graph is a collection of vertices interconnected by edges. We denote the set of all vertices by V V and set of all edges by E E. Got it? Now in easy words: A graph has two components - a set …